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Finding the Fourth Proportional to 2,294.09, 3,440.27 and 733.67

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Solution

The fourth proportional to 2,294.09, 3,440.27 and 733.67 is: 1,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.09 : 3,440.27 = 733.67 : x
  2. Step 2: Convert to fraction form
    2,294.09/3,440.27 = 733.67/x
  3. Step 3: Cross multiply
    2,294.09x = 3,440.27 × 733.67
  4. Step 4: Simplify right side
    2,294.09x = 2,524,027.82
  5. Step 5: Solve for x
    x = 2,524,027.82/2,294.09
  6. Step 6: Final answer
    x = 1,100.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.